On Thermodynamically Compatible Finite Volume Methods and Path-Conservative ADER Discontinuous Galerkin Schemes for Turbulent Shallow Water Flows
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Title
On Thermodynamically Compatible Finite Volume Methods and Path-Conservative ADER Discontinuous Galerkin Schemes for Turbulent Shallow Water Flows
Authors
Keywords
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Journal
JOURNAL OF SCIENTIFIC COMPUTING
Volume 88, Issue 1, Pages -
Publisher
Springer Science and Business Media LLC
Online
2021-06-12
DOI
10.1007/s10915-021-01521-z
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- (2020) C. Bassi et al. APPLIED NUMERICAL MATHEMATICS
- A path conservative finite volume method for a shear shallow water model
- (2020) Praveen Chandrashekar et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Fully discrete explicit locally entropy-stable schemes for the compressible Euler and Navier–Stokes equations
- (2020) Hendrik Ranocha et al. COMPUTERS & MATHEMATICS WITH APPLICATIONS
- A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations
- (2020) Sebastian Hennemann et al. JOURNAL OF COMPUTATIONAL PHYSICS
- A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics
- (2020) W. Boscheri et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Continuum mechanics with torsion
- (2019) Ilya Peshkov et al. CONTINUUM MECHANICS AND THERMODYNAMICS
- Fluctuation splitting Riemann solver for a non-conservative modeling of shear shallow water flow
- (2019) Ashish Bhole et al. JOURNAL OF COMPUTATIONAL PHYSICS
- An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes
- (2019) C. Escalante et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity
- (2019) Ilya Peshkov et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems
- (2019) S. Busto et al. COMPUTERS & FLUIDS
- Convergence of second-order, entropy stable methods for multi-dimensional conservation laws
- (2019) Neelabja Chatterjee et al. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
- A unified Eulerian framework for multimaterial continuum mechanics
- (2019) Haran Jackson et al. JOURNAL OF COMPUTATIONAL PHYSICS
- A high-order nonconservative approach for hyperbolic equations in fluid dynamics
- (2018) R. Abgrall et al. COMPUTERS & FLUIDS
- Continuum mechanics and thermodynamics in the Hamilton and the Godunov-type formulations
- (2018) Ilya Peshkov et al. CONTINUUM MECHANICS AND THERMODYNAMICS
- A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes
- (2018) R. Abgrall JOURNAL OF COMPUTATIONAL PHYSICS
- Arbitrary high order accurate space–time discontinuous Galerkin finite element schemes on staggered unstructured meshes for linear elasticity
- (2018) Maurizio Tavelli et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Multi-dimensional shear shallow water flows: Problems and solutions
- (2018) S. Gavrilyuk et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes
- (2018) Yong Liu et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Ideal GLM-MHD: About the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations
- (2018) Dominik Derigs et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Structure of the hydraulic jump in convergent radial flows
- (2018) K. A. Ivanova et al. JOURNAL OF FLUID MECHANICS
- Arbitrary-Lagrangian–Eulerian Discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes
- (2017) Walter Boscheri et al. JOURNAL OF COMPUTATIONAL PHYSICS
- A pressure-based semi-implicit space–time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier–Stokes equations at all Mach numbers
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- Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws
- (2017) Tianheng Chen et al. JOURNAL OF COMPUTATIONAL PHYSICS
- A rapid numerical method for solving Serre–Green–Naghdi equations describing long free surface gravity waves
- (2017) N Favrie et al. NONLINEARITY
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- (2016) Michael Dumbser et al. JOURNAL OF COMPUTATIONAL PHYSICS
- A simple robust and accurate a posteriori sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes
- (2016) Michael Dumbser et al. JOURNAL OF COMPUTATIONAL PHYSICS
- A staggered space–time discontinuous Galerkin method for the three-dimensional incompressible Navier–Stokes equations on unstructured tetrahedral meshes
- (2016) Maurizio Tavelli et al. JOURNAL OF COMPUTATIONAL PHYSICS
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- (2016) S. Busto et al. JOURNAL OF COMPUTATIONAL PHYSICS
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- The Multidimensional Optimal Order Detection method in the three-dimensional case: very high-order finite volume method for hyperbolic systems
- (2013) S. Diot et al. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
- Criterion of Hyperbolicity in Hyperelasticity in the Case of the Stored Energy in Separable Form
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- A new model of roll waves: comparison with Brock’s experiments
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- Thermodynamically consistent nonlinear model of elastoplastic Maxwell medium
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- ADER Schemes for Nonlinear Systems of Stiff Advection–Diffusion–Reaction Equations
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- FORCE schemes on unstructured meshes II: Non-conservative hyperbolic systems
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- ADER schemes on unstructured meshes for nonconservative hyperbolic systems: Applications to geophysical flows
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- Solid–fluid diffuse interface model in cases of extreme deformations
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- Exact and approximate solutions of Riemann problems in non-linear elasticity
- (2009) P.T. Barton et al. JOURNAL OF COMPUTATIONAL PHYSICS
- A comment on the computation of non-conservative products
- (2009) Rémi Abgrall et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Conservative Models and Numerical Methods for Compressible Two-Phase Flow
- (2009) Evgeniy Romenski et al. JOURNAL OF SCIENTIFIC COMPUTING
- Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes
- (2008) Manuel J. Castro et al. JOURNAL OF COMPUTATIONAL PHYSICS
- A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
- (2008) Michael Dumbser et al. JOURNAL OF COMPUTATIONAL PHYSICS
- High Order Extensions of Roe Schemes for Two-Dimensional Nonconservative Hyperbolic Systems
- (2008) M. J. Castro et al. JOURNAL OF SCIENTIFIC COMPUTING
- Well-Balanced High Order Extensions of Godunov's Method for Semilinear Balance Laws
- (2008) Manuel Castro et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- DG-FEM solution for nonlinear wave-structure interaction using Boussinesq-type equations
- (2007) Allan P. Engsig-Karup et al. COASTAL ENGINEERING
- Modelling wave dynamics of compressible elastic materials
- (2007) S.L. Gavrilyuk et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations
- (2007) S. Rhebergen et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws
- (2007) Michael Dumbser et al. JOURNAL OF COMPUTATIONAL PHYSICS
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